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AP® Physics C: E & M

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Identical Charges on a Square

APPHEM-39HHP1

Four identical charges of charge $\mathit{q}$ are placed at the corners of a square of sides r as shown above. Find the magnitude of the net force acting on a charge of magnitude $\mathit{2q}$ placed in the center of the square.

A

$\mathit{0}$

B

$\mathit{\frac{2kq^2}{r^2}}$

C

$\mathit{\frac{4kq^2}{r^2}}$

D

$\mathit{\frac{16kq^2}{r^2}}$

E

$\mathit{\frac{32kq^2}{r^2}}$